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arXiv · 2508.06620

Conditional non-linear stability of Kerr-de Sitter spacetimes in the full subextremal range

Peter Hintz·Oliver Petersen·András Vasy
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Abstract

We show the stability of Kerr-de Sitter black holes, in the full subextremal range, as solutions of the vacuum Einstein equation with a positive cosmological constant under the assumption that mode stability holds for these spacetimes. The method is similar to the (unconditional) proof in the slowly rotating case by Hintz and Vasy. The key novelties are the implementation of constraint damping in the full subextremal range as well as the verification of a subprincipal symbol condition at the trapped set.

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Peter Hintz, Oliver Petersen, András Vasy. 2025-08-08. Conditional non-linear stability of Kerr-de Sitter spacetimes in the full subextremal range. https://arxiv.org/abs/2508.06620

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